Question 1164424

Jim began a ​206-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 5 miles per hour and rides at 37 miles per​ hour, find the amount of time he spent on the bicycle.
<pre>Let time spent riding be T
Then time spent walking was, 6 - T
We then  get the following DISTANCE equation: 37T + 5(6 - T) = 206
37T + 30 - 5T = 206
37T - 5T = 206 - 30
32T = 176
Time spent riding, or {{{highlight_green(matrix(1,10, T, "=", 176/32, "=", 5&16/32, or, 5&1/2, or, 5.5, hours))}}}